Function P . . . . . y = 5x + 3
Function Q . . . . . y = 2x + 4
Function P rate of change = 5
Function Q rate of change = 2
The first one is => 3 <= more than second one.
Answer:
a. y = -2x + 7
Step-by-step explanation:
First, find the slope by plugging the points into the slope formula, 
, which equals -2. Then use the slope and the point (7,-7) to make an equation in slope-point form. y+7=-2(x-7), finally solve for y to get y=-2x+7.
Answer: NP = 9 inches
Step-by-step explanation:
In a parallelogram, the opposite sides are equal.
If the length of the longer side is MN, it means that the length of the two opposite longer sides is 2MN.
If the length of the shorter side is NP, it means that the length of the two opposite shorter sides is 2NP.
The perimeter is 2MN + 2NP
If the perimeter of MNPQ is 68 inches, it means that
2MN + 2NP = 68- - - - - - - - - - - -1
In parallelogram MNPQ, side MN is seven inches longer than twice the length of side NP. It means that
MN = 2NP + 7- - - - - - - - - - -2
Substituting equation 2 into equation 1, it becomes
2(2NP + 7) + 2NP = 68
4NP + 14 + 2NP = 68
4NP + 2NP = 68 - 14
6NP = 54
NP = 54/6
NP = 9 inches
The ratio of the geometric sequence 40
is 2.
Given that geometric sequence is 40* and we have to find the common ratio of all the terms.
Geometric sequence is a sequence in which all the terms have a common ratio.
Nth termof a GP is a
in which a is first term and r is common ratio.
Geometric sequence=40*
We have to first find the first term, second term and third term of a geometric progression.
First term=40*
=40*
=40*1
=40
Second term=40*
=40*
=40*2
=80
Third term=40*
=40*
=40*4
=160
Ratio of first two terms=80/40=2
Ratio of next two terms=160/80=2
Hence the common ratio of geometric sequence is 2.
Learn more about geometric progression at brainly.com/question/12006112
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Answer:
6 feet
Step-by-step explanation:
Volume of a rectangular prism = L × W × H
15 feet × 8 feet × H = 720 feet ³
120H = 720
H = 720 ÷ 120
H = 6 feet
